Mamatha T. M. currently serves as Assistant Professor at department of Mathematics, Amrita School of Engineering, Banglore campus. She is currently pursuing her Ph. D.


Degree University Year
M.Phil Sri Venkateswara University, Tirupti 2010
M.Sc. Bangalore University 2007


Publication Type: Journal Article
Year of Publication Publication Type Title
2015 Journal Article T. M. Mamatha and Venkatesh, B., “Gauss quadrature rules for numerical integration over a standard tetrahedral element by decomposing into hexahedral elements”, Applied Mathematics and Computation, vol. 271, pp. 1062–1070, 2015.[Abstract]

In recent years hexahedral elements have gained more importance than compared to tetrahedral elements (e.g. importance in the study of aero-acoustic equations using hexahedral elements to check the computational efficiency between tetrahedral and hexahedral elements). Also among the various integration schemes, Gauss Legendre quadrature which can evaluate exactly the (2n−1)th order polynomial with n-Gaussian points is most commonly used in view of the accuracy and efficiency of calculations. In this paper, we present a Gauss quadrature method for numerical integration over a standard tetrahedral element T[0,1]3 by decomposing into hexahedral elements H[−1,1]3. The method can be used for computing integrals of smooth functions, as well as functions with end-point singularities. The performance of the method is demonstrated with several numerical examples. By the proposed method, with less number of divisions we are obtaining the exact solutions with minimum errors and number of computations is reduced drastically. We have evaluated the aspect ratio value of each hexahedral element which is in the range 1–5, as per the element quality check these elements can be used for mesh generation in FEM.

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Publication Type: Conference Paper
Year of Publication Publication Type Title
2009 Conference Paper T. M. Mamatha, “Restrained Domination of kth power of a Cycle”, in XVIII International Conference of forum for Inter Disciplinary Mathematics,, Waknaghat,Himachal Pradesh, 2009.
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